There are 2 pipes connected in a tank which contains 1,000 liters of brine. Brine containing 0.1 kg/liter of salt flows in through pipe 1 at 10 liters/minute, while another brine containing 0.2 kg/liter of salt flows in through pipe 2 at 10 liters/minute and the mixture kept uniform by stirring, flows out at the rate of 25 liters/minute. If the concentration of the salt is 0.6 kg/liter at the end of 30 - minutes, how much was the concentration of salt 20- minutes from the start of the mixing process?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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There are 2 pipes connected in a tank which contains 1,000 liters of brine.
Brine containing 0.1 kg/liter of salt flows in through pipe 1 at 10
liters/minute, while another brine containing 0.2 kg/liter of salt flows in
through pipe 2 at 10 liters/minute and the mixture kept uniform by
stirring, flows out at the rate of 25 liters/minute. If the concentration of
the salt is 0.6 kg/liter at the end of 30 – minutes, how much was the
concentration of salt 20- minutes from the start of the mixing process?
Answer: 0.72 kg/L
Transcribed Image Text:There are 2 pipes connected in a tank which contains 1,000 liters of brine. Brine containing 0.1 kg/liter of salt flows in through pipe 1 at 10 liters/minute, while another brine containing 0.2 kg/liter of salt flows in through pipe 2 at 10 liters/minute and the mixture kept uniform by stirring, flows out at the rate of 25 liters/minute. If the concentration of the salt is 0.6 kg/liter at the end of 30 – minutes, how much was the concentration of salt 20- minutes from the start of the mixing process? Answer: 0.72 kg/L
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